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Finding the Fourth Proportional to 103.53, 155.34 and 31.40

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Solution

The fourth proportional to 103.53, 155.34 and 31.40 is: 47.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.53 : 155.34 = 31.40 : x
  2. Step 2: Convert to fraction form
    103.53/155.34 = 31.40/x
  3. Step 3: Cross multiply
    103.53x = 155.34 × 31.40
  4. Step 4: Simplify right side
    103.53x = 4,876.90
  5. Step 5: Solve for x
    x = 4,876.90/103.53
  6. Step 6: Final answer
    x = 47.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.